Results 41 to 50 of about 1,412,303 (334)
Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
Mathematics, 2021 The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain +4 more
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Relativistic Conic Beams and Spatial Distribution of Gamma-Ray Bursts [PDF]
, 2000 We study the statistics of gamma-ray bursts, assuming that gamma-ray bursts are cosmological and they are beamed in the form of a conical jet with a large bulk Lorentz factor $\sim 100$.
Heon‐Young Chang, Insu Yi, Renaud N.
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Inverses of Gamma Functions [PDF]
Constructive Approximation, 2014 Euler's Gamma function $ $ either increases or decreases on intervals between two consequtive critical points. The inverse of $ $ on intervals of increase is shown to have an extension to a Pick-function and similar results are given on the intervals of decrease, thereby answering a question by Uchiyama. The corresponding integral representations are
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A refinement of a double inequality for the gamma function
, 2011 In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
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Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems
Actuators, 2023 This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems.
Zhenzhen Long +3 more
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Some Gamma Function Inequalities [PDF]
Mathematics of Computation, 1993 A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x
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A completely monotonic function involving the tri- and tetra-gamma functions
, 2010 The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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Two Photon Physics at LEP2; including data Monte-Carlo comparison [PDF]
, 1997 A partisan review of some of the most important $\gamma\gamma$ channels accessible at LEP 2, with special stress on the measurement of the photon structure function $F_{2}^{\gamma}$ and on associated problems with Monte Carlo modelling.Comment: 7 pages ...
Miller, D. J.
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Optimal bounds for the generalized Euler–Mascheroni constant
Journal of Inequalities and Applications, 2018 We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang +3 more
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AxiomsHilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
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